Math  Vectors
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The points A and B have position vectors, relative to the origin O, given by −−→OA = i+2j+3k and −−→OB = 2i+j+3k. The line l has vector equation r = (1−2t)i+ (5+t)j+ (2−t)k. (i) Show that l does not intersect the
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The position vectors a,b,c of the points A,B,C relative to the origin O are ai, bj and ck respectively.Find: 1) a vector equation for the line l throught O which is normal to the plane ABC. 2) a vector equation of the plane ABC
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At time t=0, a 2kg particle has position vector r=(5.0m)i+(8.0m)j relative to the origin. Its velocity just then is given by v=(5.0t^2m/s)i. For the following answers, use t for the time. A) About the origin and for t>0, what is
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two inertial frame s and s' have their axes paralell and pasitions of origin o' of s' relative to origin to s is given by ro=i+j+3k.what is the magnitude of position vector of a point p in s' if the coordinates p in s is(2,3,4)
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The position vectors for points P and Q are 4 I + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j and k. Hence find the length of PQ, in simplified surd form.
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the position vectors of A and B relative to the origin are a and b repsectively The point P is on OA such that PA=2PA So my question is if B is the top of the triangle and O represent the left corner of the triangle and A the
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Determine the vector equation of the line l in R^3 through the points P and Q with position vectors p = (2, −1, 6) and q = (1, 0, 11). Determine the equation of the plane perpendicular to the line PQ which passes through the
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